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Nominal Completion for Rewrite Systems with Binders

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Automata, Languages, and Programming (ICALP 2012)

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Abstract

We design a completion procedure for nominal rewriting systems, based on a generalisation of the recursive path ordering to take into account alpha equivalence. Nominal rewriting generalises first-order rewriting by providing support for the specification of binding operators. Completion of rewriting systems with binders is a notably difficult problem; the completion procedure presented in this paper is the first to deal with binders in rewrite rules.

Partially supported by the Spanish MICINN under grant TIN 2010-21062-C02-01

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Fernández, M., Rubio, A. (2012). Nominal Completion for Rewrite Systems with Binders. In: Czumaj, A., Mehlhorn, K., Pitts, A., Wattenhofer, R. (eds) Automata, Languages, and Programming. ICALP 2012. Lecture Notes in Computer Science, vol 7392. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31585-5_21

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  • DOI: https://doi.org/10.1007/978-3-642-31585-5_21

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-31584-8

  • Online ISBN: 978-3-642-31585-5

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